Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766br |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-9644184 = -1 · 23 · 35 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- 2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41,177] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-11:1] |
Generators of the group modulo torsion |
j |
-63088729/79704 |
j-invariant |
L |
9.0510574419255 |
L(r)(E,1)/r! |
Ω |
2.0775074155619 |
Real period |
R |
0.2904460532568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298q1 29766r1 |
Quadratic twists by: -3 -11 |